On H-curvature of (α,β)-metrics

Akbar TAYEBI; Masoome RAZGORDANI

Makale detayları

On H-curvature of (α,β)-metrics

Yazarlar:

Akbar TAYEBI | Masoome RAZGORDANI

Yayıncı:

TUBITAK

Ana Başlıklar:

Matematik

Dergi:

Turkish Journal of Mathematics 2020 Vol.44 Issue 1, pp.207-222

Belge Tipi:

Makale

Yayın Tarihi:

1/2020

Belge Dili:

İngilizce

Document ID (Org No.):

2000745478

Sıklık:

İki Aylık

eISSN:

1303-6149

pISSN:

1300-0098

Özet:

 

The non-Riemannian quantity H was introduced by Akbar-Zadeh to characterization of Finsler metrics of constant flag curvature. In this paper, we study two important subclasses of Finsler metrics in the class of so-called (α,β)-metrics, which are defined by F=αϕ(s), s=β/α, where α is a Riemannian metric and β is a closed 1-form on a manifold. We prove that every polynomial metric of degree k≥3 and exponential metric has almost vanishing H-curvature if and only if H=0. In this case, F reduces to a Berwald metric. Then we prove that every Einstein polynomial metric of degree k≥3 and exponential metric satisfies H=0. In this case, F is a Berwald metric.

Makale detayları

On H-curvature of (α,β)-metrics

Yazarlar: Akbar TAYEBI | Masoome RAZGORDANI

Yayıncı: TUBITAK

Ana Başlıklar: Matematik

Dergi: Turkish Journal of Mathematics 2020 Vol.44 Issue 1, pp.207-222

Belge Tipi: Makale

Yayın Tarihi: 1/2020

Belge Dili: İngilizce

Document ID (Org No.): 2000745478

Sıklık: İki Aylık

eISSN: 1303-6149

pISSN: 1300-0098

Sayı

Yazarlar:

Akbar TAYEBI | Masoome RAZGORDANI

Yayıncı:

TUBITAK

Ana Başlıklar:

Matematik

Dergi:

Turkish Journal of Mathematics 2020 Vol.44 Issue 1, pp.207-222

Belge Tipi:

Makale

Yayın Tarihi:

1/2020

Belge Dili:

İngilizce

Document ID (Org No.):

2000745478

Sıklık:

İki Aylık

eISSN:

1303-6149

pISSN:

1300-0098